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研究生： 李致德
Lee, Chih-Te
論文名稱： 在擬度量空間上兩個弱收縮映射之最佳鄰近點
Best proximity point theorems for two weak cyclic contractions on metric-like spaces
指導教授： 陳啟銘
Chen, Chi-Ming
葉麗琴
Yeh, Li-Chin
口試委員: 陳正忠
Chen, Jeng-Chung
施信宏
Shih, Hsin-Hung
學位類別： 碩士
Master
系所名稱： 理學院 - 計算與建模科學研究所
Institute of Computational and Modeling Science
論文出版年： 2019
畢業學年度： 107
語文別： 英文
論文頁數： 18
中文關鍵詞： 最佳鄰近點理論 、Meir-Keeler Kannan型態循環映射收縮函數 、廣義MT-Ciric循環映射φ型態收縮函數 、擬度量空間
外文關鍵詞： Best proximity point theorem, Cyclic Meir-Keeler-Kannan type contraction, Generalized cyclic MT -Ciric-function type φ-contraction, Metric-like space
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    • 在這篇論文裡，我們在擬度量空間建立了兩個最佳鄰近點理論：Meir-Keeler Kannan型態的循環映射收縮函數和廣義MT-Ciric循環映射φ型態收縮函數。我們的成果是歸納和改善最近文獻中很多的最佳鄰近點理論。

    In this paper, we establish two best proximity point theorems for the cyclic Meir-Keeler-Kannan type contractions and generalized cyclic MT -Ciric-function type φ-contractions in the setting of metric-like spaces. Our results generalize and improve many recent best proximity
    point theorems in the literature.

    Abstract --- i Acknowledgements --- ii Contents --- iii 1. Introduction and preliminaries --- 1 2. The best proximity point results of cyclic Meir-Keeler-Kannan type contractions --- 4 3. The best proximity point results of generalized cyclic MT-Ciric-function type φ-contractions --- 10 Reference --- 17

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